Go over to the shipyard and Team Plasma will show up. The shipyard is at the lower right end of Virbank. You'll see Roxie, Plasma, and I believe your rival is there too. Just walk up and that'll initiate a cutscene.

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How does one Go upon getting Eevee then?

You can get to a garden though the Castelia Sewers and Eevee is in the grass there, however it's a 5% chance of finding one. Worth it though, imo.